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Finding the Fourth Proportional to 177.27, 265.65 and 100.07

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Solution

The fourth proportional to 177.27, 265.65 and 100.07 is: 149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.27 : 265.65 = 100.07 : x
  2. Step 2: Convert to fraction form
    177.27/265.65 = 100.07/x
  3. Step 3: Cross multiply
    177.27x = 265.65 × 100.07
  4. Step 4: Simplify right side
    177.27x = 26,583.60
  5. Step 5: Solve for x
    x = 26,583.60/177.27
  6. Step 6: Final answer
    x = 149.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.